辽宁省名校联盟2023届高考模拟调研卷数学（二）（含答案解析）

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ḕ᪥ὶ2023ὃẆᔁᦪ᪥:
:ὃஹᓫ⌱⚪1.z(l+i)=7+5i,=()A.6-iB.6+iC.3-2iD.12-i2.ᔠU={Xx2-7x-840},A={0,1,2},B={-2,7,0,1,2,3,4},ᑣ@A)c8=()A.{0,1,2}B.{3,4}C.{-1,3,4}D.{-2,-1,3,4}3.ᑡᦪᏔᦪḄ()A.஻x)=sin("+x)B./(x)=2v+2'vC.=—FxD./(x)=xln(>/x2+l-x)44.$pVx>0,Ḅᔲ&'Ꮇ)⚪Ḅ*ᐙᑖ-⌕ᩩ0()xA.a>4B.a<4C.a>2D.a<25.12⌕345615ᑖ7Ḅ᪶⏚:᪵<=>ᨵ9:᪵@ABᕒᐰEᑖFᑮ3*:᪵<=H*:᪵

17.ᙊ┵ᑁLOLḄ4*⚔<ᙠᙊ┵Ḅ☢=ᐸ⚔<ᙠᙊ┵Ḅ☢PḄ☢A☢=fᙊ┵ᡂ¡Eᑖ=Eᑖ'ᙊ¢=£ᙊ¢☢"☢Ḅ☢LV.¦§'1:4=©ª«'¬=ᙊ¢¦'ᓃ=LḄ᜜ᳫ¦'ᓃ=ᑣL=OPV276B,7G□A.C.²9398.஺=200,/?=lg(101)",c=1011g99,ᑣ஺ஹbஹ஺ḄᜧÄᐵÆ'OPA.a>c>hB.c>a>bC.c>b>aD.a>b>cÈஹÉ⌱⚪஺'ËÌ▲Î,cosOa-5=Ê=ᑣO9.A.B.C.D.tan^-ccj=-2>/210.ᦪ/Oᨴ=1+^2+6+^0<0PᙠX=-1ᜐᨵ᩽Þ=ß᩽Þ'8,ᑣOPA./OxPᨵá*â

212.᦮ᦪ஻=þ-9°+4@++%—஽93ᐸ4£{0,1,2,3,4,5,6,7,8}(=0,1,2,a>(஻)=4o+4++%஻<8!",S(஻)=0(1)+G(2)++09஻),ᑣ()A.S(஻)-S(஻-l)=9஻+28(஻,2)B.69(9/7+10)=69(A?)+1c.ᦪᑡ1012ᦪᑡD.45-67ஹ9:⚪13.<=ᔣ?஻=@6,-1A,6=@B1A,CW>W|2“-0=26,ᑣ஻=,14.<=GHI?XK6@X<-LA=O.25,P@X>2A=0.1,ᑣ15.᝞PজᙠSTUVWABCDAB=4iBD=4iAD=2O,YZABO[8஺ᢚ^_`aAᑮcaPᜐ@᝞PঝAPC=2,ᑣ7f┵P-B8Ḅᑁᑗᳫlm0Uஹn:⚪16.<=oᙊC:[+/=l@a>b>0AḄtᯖa06v⚔a08,xy8zḄᚖ|Sᑖx~CM,Na~yaP,஺0ᙶ᪗a8P=26஺ᑣCḄ᳛0C.BMNḄᕜ08,ᑣ6=.

3ஹ⚪17._ABCḄᑁA,B,CḄVᑖ0஺b,஺<=2sinA=3tangC.পALফCABCḄ☢08+ACᓱ18.¡᪥ᨵA,B¤⚶ᔉ0§¨©ª⚶ᔉḄ«¬®ᙠ¡¯ᵨ⚶±©᪥²A⚶ᔉGH³´µ67¶²B⚶ᔉGH³´µ69¶ᐸᙠA,3⚶ᔉ·¸¹«¬Ḅᑖᨵ15¶ஹ6¶ᐸº¶ᙳ«¬.(1)᪷½ᦪ½ᑡ¾2x2ᑡὶ⊤ÂýÄᭆ᳛Æc=0.005ḄÇÈឋÊËÌᔲÎ0ᵨ⚶©ªÏÐ⚶ᔉ«¬®ᨵᐵὶÒ(2)©᪥ᜧ?ᵨ⚶©ªÔTµÕÖ`¾᝞×ØÙ:Ú¬ÛÜ©ªÝÛ¯ᙠ᪥ᵨ⚶±1ÞÌᙢ⌱áÛÐ⚶ᔉᵨ⚶²Ýâ¯ᵨ⚶^᝞ãäÛ¯åµA⚶ᔉæçè¯ᑮA,13B⚶ᔉḄᭆ᳛ᑖ0é᝞ãäÛ¯åµ8⚶ᔉæçè¯ᑮA,8⚶ᔉḄᭆ᳛ᙳ440êÚ¬ÛÜ©ªÝ3¯ᵨ⚶ᑮB⚶ᔉḄᭆ᳛.19.ᙠᦪᑡë4ì4=9,3a„=a„+12.tl(1)îïéᦪðIJëq-6ì01ôᦪᑡL(2)ᦪᑡë"qìḄä”⚗øS.n20.᝞Pᙠ|UfùABCO-AAGAú☢A8CO0ûWaMᙠf4)v,AM=3MD,AB=BB1=2,BDLCஹM.üᔁÝ4⚓ᐳ5⚓

4পAD(2)☢A-WC.-BḄ.21.ᙊᙊE:(x+3)?+y2=i8᜜ᑗ(ᙊ)*(+3,+9=2ᑁᑗ(/ᙊḄᙊ0Ḅ12345C.(1)CḄ᪗789:(2);5/C=>A,8@A(A)ᙠ5CA8D(AQᙠ5CABḄFG5D(HI☢জঝঞM⌱O@PQ3ᩩS(TUV᜜PᡂX*Y*᝞[⌱\]^Ḅ_ᔠᑖbcd,ᢥfPcdgᑖ.জ)(8,1):@\AP\-\BQ\=\BP\-\AQ\ঞ஺i;5/;5x-y-l=0Ḅ=A.22.lmᦪ/(x)=Ae*,g(x)=x+xlnx.পTU*஻x)>g(x):ফv|/(x)-4>ag(x)ឤᡂX({ᦪ”ḄO~.

5

6ὃdᫀ*1.Bூᑖ᪆௃᪷ᦪḄᑣᐳᦪḄᭆᓽc.7+5i+12-2iூc௃3Z=L=S/-=6—ᡠz=6+i.ᦑ⌱*B.2.Cூᑖ᪆௃ᐜᔠU,ᯠ(Q/A)cBᓽ.ூc௃ᵫ⚪¡஺={x|-14xV8},A={0,1,2)ᡠ((A=[T,0)u(0,2)஺(2,8],3B={-2,-1,0,123,4},ᡠ&A)c5={—l,3,4}.ᦑ⌱*C.3.Cூᑖ᪆௃᪷mᦪḄ᜻ᏔឋḄ¥¦c.ூc௃§>A⚗(/(x)=-cosx,¥¦©3R,ᡠ/(ߟX)=-cos(-X)=—cosX=/(X),ᡠ/(x)3Ꮤmᦪ:§>B⚗(¥¦©3R,x)=27+2'=/(x),ᡠ“X)3Ꮤmᦪ;§>C⚗(஻x)Ḅ¥¦©3(~,0)U(0,+w),1ᡠ/(x)=*7¬+x]iᏔmᦪ;2—1§>D⚗(f(x)Ḅ¥¦©3R,f(-x)=-xln(jx2+1+x)=xlnJ=xIn(\/x2+1-x)=/(x)+1+x,dᫀf1⚓(ᐳ17⚓

7ᡠ/®¯=°111&2+[_ὡiᏔmᦪ.ᦑ⌱:C.4.Dூᑖ᪆௃ᵫ⚪²⚪஺Ḅᔲ¥3Ꮇ²⚪(ᑣ²⚪஻3µ²⚪(µ²⚪ᡂXḄ¶·I஺ḄO~(ᵫ⌱⚗ᓽᑨ¹ᐙᑖ]»⌕ᩩS.44ூc௃ᵫ⚪½P*Vx>0,x+—2஺Ḅᔲ¥3Ꮇ²⚪(p:Tx>0,—3µ²⚪(XX4¾x+—24,¿ÀÁ¿x=2ÂÃÄᡂX.ᡠiP3µ²⚪Ḅᐙ⌕ᩩS(i஺3µx²⚪ḄÅ]ᐙᑖÆ]»⌕ᩩS(“22i஺3µ²⚪ḄÅ]ᐙᑖÆ]»⌕ᩩS(a<2"P#µ²⚪Ḅᐙᑖ]»⌕ᩩS.ᦑ⌱*D.5.Bூᑖ᪆௃ᑭᵨᑖ_ᑖÉÊ⚪Ḅg8Ëc.ூc௃ᑖ_8Ëᐳᨵ2,2,5¯,2,3,4¯,3,3,3
¬Í¶·(ᡠᑖÉ8ËᐳᨵA:Î)+CCC+1=11508.\A2A,$ᦑ⌱:B.6.Aᑖ᪆௃᪷⚪ÏÐÑᩚÓÔÕÖᕜ(AAᡠÖØḄÙÚÛÜ¥AAᡠᙠÝÞ(ᑭᵨÙßàᓽAAᑮÔÕḄᚖ;ãä.ூc௃ᵫ⚪Ôåᨬ᜜çåØḄãä32;rx100cm=200ècm,ÔåḄᕜG3x30cm=60mm,ᡠÔååØéêᙌ(ᓽåØì3x360஺=3ஹ360஺+120஺(ᡠ60è33AAãÔÕḄᚖ;ãä330-30xcos180°-120°
=15cm.ᦑ⌱*A.7.Aூᑖ᪆௃ᵫ⚪¡ᙊîDï☢Iï☢Ḅßàð3'=:(⊤ó8ôõG(ᑭᵨcR2¡4=ö(/[=2÷,᪷ᙊîøᳫḄôúûü(ᓽ¡dᫀ.ூc௃ýᙊîḄDIï☢ßà3þ4,dᫀf2⚓(ᐳ17⚓

8ஹ.r.1ᵫᙊîDï☢Iï☢Ḅ☢úð31:4,¡ᙊîDï☢Iï☢Ḅßàð3=3,ᵫ⚪8ôḄõG3,᝞ÿ
4PᙊḄᩩAAḄᩩᙊ☢ḄᙠRtaAAPAP=R,4|஺=4-4=444=⊈!ᓽ(6)=&+(0))*.,4=0,r=2A/2,2ᑣᓃ0:ᐔ⊈!3+ᧅ0+^2)=-^7rx2x(2+4+8)=,Ḅ᜜<ᳫ>?R=ᜐA=Bᦑᓃ=\ᐔ(6E=46ᐔ2287tᡠGHI76,ᓃ4(9ᦑ⌱LA8.Bூᑖ᪆௃᪀⌼Tᦪ஻x)=(100-x)lg(100+x),x[-l,l],ᑭᵨ^ᦪᑖ᪆Tᦪ஻x)ᙠ[-1,1]6Ḅᓫ`ឋb,cd=஻1)ஹ"="())ஹc=/(-1),iᔠTᦪ஻x)Ḅᓫ`ឋb,c஺ஹGcḄᜧ!ᐵm.ூn*௃
/(x)=(100-x)lg(100+x),xe[-l,l],inn_Est,/(x)=-lg(lOO+x)+-^lgeioQ,inn_)/ஹ1i200ixg(x)-g(IOO+x)+▭rJge,ᑣg(>-᪗lge-^^lge

9ᡠGg(T)=-lg99+——lge=lge^-lg99,99e஽<99,ᡠG>'(x)=g(x)/(0)=1001g100=200>/(1)=991gl01=lg(101)",ᦑc>a>d.ᦑ⌱LB.ூ௃L*Tᦪᜧ!⚪ḄᨵL(1)ᑨᔜᦪᡠᙠḄ(2)ᑭᵨTᦪḄᓫ`ឋ¡<*.ᦪ¢Ḅᜧ!⚪££bGᑭᵨ¤¥Ḅ¦ᔠ§ᵨ.9.BDூᑖ᪆௃✌ᐜᵫ⚪«,a-5¬▲¯ᡠGsin(a-1)=>°ᑭᵨ±^²³´µ¯¶¯Tᦪᐵm³·⌱⚗⌲º»¼½¼ᫀ.7Tூn*௃ᵫ⚪«,2Ecos¥=À1>-381842ᐔᡠGa£¬▲¯ᓽsina——Oᐔᐔ=g,A⚗┯Ä;ᓝ——aa——288ᐔcosia+a——+ᐔ--,B⚗¼;837171=,c⚗┯Ä;+—a——288sinl71-tania——=-2Æ,D⚗¼.I8ᐔcosa--ᦑ⌱:BD.ᫀ4⚓ᐳ17⚓

1010.ACூᑖ᪆௃ᵫᩩÇ᪷É᩽Ë^ᦪḄᐵmÌc,ᑨB,ᑭᵨ^ᦪᑖ᪆Tᦪy=/(x)Ḅᓫ`ឋiᔠÍÎᙠឋ½ᳮᑨA,᪷É^ᦪḄÐÑ«ÒÌᑗᑨC,᪷É᜻TᦪḄ½ÒᑨD.ூn*௃ᵫ⚪«,ᑴx)=3/+Ö+஺×(-1)=3-d+c=O,஻-l)=T+h-c+/=8,[b=3\b=—2*,ØÙ)ᡈᦑB⚗┯Ä[c=3[c=-7/(%)=^-2^2-7x+4,/r(x)=3x2-4x-7=(x+l)(3x-7),sX£(—1)t/^x)>0,ᓫ`⌴Ûsxe(-lg)tr(x)<஺/(x)ᓫ`⌴sÜÝ,+8Þ/᮱)>0,f(x)ᓫ`⌴ÛX/(-3)<0,/(-1)>0,/(1)<0,/(4)>0,ᡠG/(X)ᨵ¶ÍᦑA⚗¼rফ=-3,42)=70,ᑣáy=/(x)ᙠ(2,஻2))ᜐḄᑗây+10=-3(x-2),ᓽ3x+y+4=0,ᦑC⚗¼/(X)-2=X3-2X2-7X+2/(t)-2=t3-2Y+7x+2w-/(x)+2,ᦑD⚗┯Ä.ᦑ⌱LAC.II.BCDூᑖ᪆௃᪷ÉᙊḄâ´ãᱥâὶÀ,ᑮḄ*ᓽbᑨ⌱⚗Aὅᨵèᨵ²ᐳ⌱⚗BḄ⚪éᓄÌ*G¡?Ḅᙊᵫ×´Eᙶ᪗ᓽbᑨᵫE4,FAEFbGᑭᵨìí¥ᐜÌA8Ḅ>°ÌᩭᑨCᑭᵨ¡´ᙊÜᑗÌc¡ḄâᑣᑖïÌcMN´PQḄðñᓽbᑨ⌱⚗D.ᫀ5⚓ᐳ17⚓

11ூn*௃·òA,ὶÀ:?,ô)-2õ2+Ý=1,ôx-2õ+/=1'716÷x=2¬âḄ᪷ᡠGCËEᨵ²ᐳA⚗┯Ä;·òB,ú<£4,EB,ᑣE4J_E4,EBYFB,ᡠGF,A,B,E¿ᙠG¡?Ḅᙊý×ô0,1õ,Eô2,0õ,ᡠGᙊḄâôx—lõ2+ôy_gj=
.ᓄf+y2-2x-y=0,B⚗C,ᵫ⚪4|=1_ᓲ!2=2,ᡠ#"%&%Ḇ(ᡠ#|▢=*,C⚗21MlV5115D,012F45ᙊE:9X-2;2+V=I=ᑗḄᑗ@ABCy=fcr+l,ᵫ5*=1,GH=0ᡈ4=-Jᦈ+13JL04
y=i,/2
y=-gx+i(ᑣ|MN|=4,x2=4yὶS49y2-82>+9=0,y=——x+lI3QO1V
ᡠ#%+%=Y"(ᡠ#|Z஺|=%+C+2==-,ᡠ#|MN|+|PQ|=4+5=^(D⚗.ᦑ⌱
BCD.12.ACDூᑖ᪆௃ᑖf⊤hi஺99"-8;=஻,

12+co{9n-4;+co{9n—3;+co29n-2;+a$9n—1
+co29n
,X9n—8=1-9°+n-1
-9',ᡠ#6999H-8;=1+/2-1=n,ᳮ9஻-7=2,9°+஻—1
஺(ᡠ#99஻-7;=2+஻-1="+1,9஻-1=89°+9஻-1
9ஹᡠ#ᑓ99஻-1
=8+஻-1=஻+7,9஻=0,9°+஻9,ᡠ#99஻;=஻,ᡠ#S9஻S஻—1
=9஻+28,A⚗;9n+lO=O-9°+a-9,+67-92++%_.9"+%+9+1,oI6y99஻+10;=1+1+/+q+ᐘ++q=6y9஻;+2,B⚗┯;஻=1(S9l
=6991
+6992;++099;=1+2++8+1=37,஻22(S9n
=S9n
-S9n-l
+S9n-l
-S9n-2;++S92;—Sপ+Sপ=9஻+28+9஻-1
+28++9x2+28+9x1+28=஻99஻65;=9஻-;65஻,஻=1ᔠ(ᡠ#S9஻;=;65’,ᡠ#∅=¡(¢.S9஻;S9஻-l
9஻+659஻+569ᡠ#}^----L=--------------=-)nn-\222ᡠ#ᦪᑡCuvᦪᑡ(C⚗/="9Z9";=9°+9ஹ92+93++9”T(I஻J81-9’9"-1CD=1+1+,+1=71,D⚗.ᦑ⌱:ACD.13.3sூᑖ᪆௃᪷|ᔣ¦Ḅ§qi஻?=3¨ᡈ©=ª(ᯠ¬ᔠ®¯°±²ᓽpqG•ூG௃ᵫ⚪´W=3+1=4,M=5,+1(a-b=#>in-l,ᡠ#µ"}஻1=4®-4a-b+1/?|=16-4y/3m+4+m2+1=12,ᡠ#/-4©"+9=0,G஻?=30ᡈ¶=6.¶=6(w=w(Jᔠ⚪´¶=3(^(W>k].ᡠ#wi=3j5.ᫀ7⚓(ᐳ17⚓

13ᦑᫀC
3¬.314.0.15##—20ூᑖ᪆௃ᑭᵨ᝱ᑖ¸Ḅ¹ឋpqP9X<-1
,ᵫ»pqூG௃ᵫ⚪´¼஻=g,ᡠ#P9X<-l
=P9X>2
=0.1,ᡠ#P9_]WXW_1
=P9X<_g
_px<-l
=0.15.ᦑᫀC:0.15.ত-2615ூᑖ᪆௃12஺¾QE஻8C,3DE=BC,¿ÀPE,CE,ÁÂ;/Ã☢P£>E,ÅÆÁÃ☢BCEr>_LÃ☢£È(ÉDEḄÊ2஺(¿À஺P,ÁË஺Ã☢BCED,ᯠ¬qÌÍ┵P-BCDḄÏÐÑ⊤☢Ð(ᵫÏÐÒqᐸᑁᑗᙊÕÖ.ூG௃᝞Ø(12஺¾OE஻8C,40E=8C,¿ÀPE,CE,ᑣBCEDÙðÚÛÜ(ᵫ⚪´p¼P£;_L3£;,BC4BD,ᡠ#DE_L8஻(5DEcPD=D,DE,PDu6☢PDE,ᡠ#802Ã☢PDE,PEuÃ☢£>E,ᡠ#ᡠ#CELPE,ᡠ#PE=ylPdE°=2=PD.5BDuÃ☢BCED,ᡠ#Ã☢BCED(Ã☢PDE.É஺EḄÊ2஺(¿ÀOP,ᑣOPJ_OE,OPu6☢PDE,Ã☢POE஺Ã☢BC£;E=OE,ᑣQPLÃ☢BCE஺(40=Ý(ᡠ#ÌÍ┵P-8CDḄÏÐI1128;V„BCD=-S&BCD,OP="-x2x2x625s=-x2x2=2,r—o^U3IADLU32'31flOT2sÞß=S»஺=gx2X92ᵨ-l2=;,SgQ=gX2&Xà_9p=2,ᡠ#ÌÍ┵P-BCDḄ⊤☢ÐS=S+SÞá,+S&p3+S5c=292+77
,0ÌÍ┵P-BCDḄᑁᑗAflCD11ᳫÕÖCr,ᑣᔆ=ä=%^=ᢈ}2¬S2+V73ᦑᫀC
æç.3ᫀ8⚓(ᐳ17⚓

14p16.1##0.5Gூᑖ᪆௃ᵫᩩéyêcᐵì(ᔠ஻(4cᐵì(᪷|íî᳛Ḅyzqíî᳛,ூG௃ᵫBP=2PO(\BO\=b,pðP|=ñ(|0”=?(¿ÀPF,òC2Pᙠ@ô■Ḅᚖ÷Ãᑖ@ø(ᡠ#ùú=ðὡ=ü(ᙠRtzXPOFÊ(ᵫýþyᳮ|0ÿ+|0
=|ᡠ]+,2=(|0,c1᦮ᳮ஻=3஺2,ᡠ஻2-C2=3C2,ᓽa2=402,ᡠCḄ᳛e=£=ja2OFc1ᙠRtZXBOcosZBFO=-—=-=ᡠNBFO=60஺.BFa2MNx'H,ᙠRtAWFFZHFF'=NBFO=60,HF=-BF=^-a,22ᵫ!1=—□1=a=2c,ᡠF'#CḄ$ᯖ11cosZHFF1&=|'(|N8|=|NF|,ᡠḄᕜ*+,.FMNḄᕜ*&Ḅᕜ*#|Mfj+|NF|+|MF[+|NFl=4a,8MNḄᕜ*#8,ᡠ4஺=8,-஺=2,ᡠc=l,ᦑb=\la1—c2=6•ᦑ/ᫀ#1g26♦/ᫀ39⚓ᐳ17⚓

15ூᑖ᪆௃:1
✌ᐜᑭᵨ?@Aᑁ@CD3+C=TC-AEᐭᑗᓄIJᑭᵨKL@MNᓄOᓽ(P@AḄᜧR.:2
᪷T?@A☢VMNWXAḄYJᵫᔣ[᥎Ḅ]^_`Iaᳮᓽ(PrA3cosTl—A____2ூb-௃(1)ᵫ⚪2sin4=3tan—
.Asin23COS444&…,ᡠ஺ீf,ᡠ4sin—cos—=-----2in—s2AAAQᡠ0

16ூᑖ᪆௃(1)Ꮇᑡᑡὶ⊤WXᐸwYḄᜧRaᔲᎷ2(2)ᐜᑭᵨᐰᭆ᳛MNPuv3KᙠA⚶ᔉ⚶Ḅᭆ᳛Jᵫᭆ᳛MNP3KᙠB⚶ᔉ⚶Ḅᭆ᳛Jᵫᐰᭆ᳛MNP3?ᙠ.B⚶ᔉ⚶Ḅᭆ᳛.ூb-௃(1)Ꮇ#"஺1ᵨ⚶uvwxy⚶ᔉ{|}~ᐵὶ⚪|ᑡ2x2ᑡὶ⊤᝞1¡{|{|ᔠWA⚶ᔉ155267B⚶ᔉ66369ᔠW21115136136x(15x63-52x6/2«4.881<7.879=x0(x)567x69x21x115᪷TRᭆ᳛Y஺=0.005Ḅ®ឋ°±²ᨵᐙᑖµT¶·“஺¡ᡂº»(s#H஺ᡂᓽs#ᵨ⚶uvwxy⚶ᔉ{|}~ᐵὶ.(2)C,="3iᙠA⚶ᔉᵨ⚶”3iᙠB⚶ᔉᵨ⚶”ᐸi=l,2,3,11Q1ᵫ⚪|ீwRÂÃip(C)=p(q)=5,p(c|c,)=-,p(D\c)=~.P(C|D,)=-,22l2p(3ᵪ)=:,ᵫᐰᭆ᳛MNp(C2)=p(cMG|G)+p(A)p(C2im=2x2+92=Z4-ZZoP(D)=I-P(C2)=£&P(2|G)=Ð(AR)=52o4NaQciinᵫᐰᭆ᳛MN2(4)=ᨴÖ)×4|6)+(2)(஺3஺2)=6ஹ7+m^Ú.o4oZ3D19.(1)µÛr-᪆2(2)S--+3n2+3n--஻eN*"44X3”2ூᑖ᪆௃(1)Þᔣ=4+12ßAEᐭ”“T-6ᓄOᵫ+ᦪᑡḄᭆâᓽ(µÛ;/ᫀ3II⚓ᐳ17⚓

17(2)ᵫ(1)å஻,,æḄç⚗MNEᐭå஻4æ᦮éᑭᵨᑖêPCᑖêëìíîïᑖᑭᵨ┯ñíòᓽ(På஻(æḄó,⚗C5,,.ூb-௃পµÛ1ᵫ3a,õ=4+12,4ᔣ=%÷ᓽ/_6=ᑴú_6=û3᝞“_6),&4-6=3,ᡠa“-6w0,ᡠᦪᑡå4-6æ3#✌⚗g#MḄ+ᦪᑡ.n-1(2)ᵫ(1)(þa“-6=3x]2J1஻ᡠ%=+6,ᦑ஻=+6஻nᦪᑡ6஻Ḅ஻⚗2ᦪᑡF3Ḅ”⚗.ᡠᦪᑡ஻Ḅ஻⚗S“=T„+P„,Zஹ஻(71+1)ஹᡠᓃ=6(1+2++n)=6xJ=3n2+3n,+2x0+.+஻x[£|জ9=ᖊ)+2*-+...+.),ঝ0ᵫজ-ঝ22733"(mA67319]_272஻+3ᡠ(22344x3-2'ᦑᦪᑡ<=Ḅ஻⚗5,,=73+ᓃ=?+3஻2+3஻-@ᧅ.44XJ20.(1)4Dூᑖ᪆௃(1)ᵫ⚪JᡠKᩩMNOPPᚖR2STUVWXᑭᵨ[\]ᡂ_`2-A஺Ḅc.(2)d஺ᙶ᪗gdDA,DC,0AᡠᙠRPᑖix,>,zlmnopRUᙶqᫀs12⚓ᐳ17⚓

18᪗vw-ᔜydḄᙶ᪗ᑖiw-Syz☢Ḅ|ᔣ~ᑭᵨ|ᔣ~w-☢☢UḄc,ᓄᡂcᓽ.ூ௃1CM,ᵫ⚪25BDL,CC,nQM=C,,CC,.CMᙠz☢C.CMᑁᡠ8஺z☢C.CM,tCMuz☢GCM,ᡠBOJLCM,ᙠRtBDCRtCMDZfiDC=ZCMD,ᡠRtABDCRtACMD,ᡠ"2=5AM=3MD,ᡠ8c=4MO,DCBCᓽ4MI?=OC2=A32=4,ᡠM£>=1,ᑣAO=BC=4MD=4.2R£¤¥ABC஺-ABC"¦☢ABC஺§Vᡠd஺ᙶ᪗gdDA,DC,஺஺ᡠᙠRPᑖix,V,zlmn᝞ªᡠ«ḄopRUᙶ᪗v,ᵫ12஺0,0,0,“1,0,0,A4,0,2,G0,2,2,84,2,0,ᑣ<=-1,2,2,M4,=3,0,2,MB=3,2,0,z☢AMGḄ|ᔣ~a=G,X,zj,m•MG=-%+2y+2Z[=0/ஹᵫ—,+3i³2…4-3,z☢Ḅ|ᔣ~஻=W%,Z2,n-MCj=-x+2y+2z=0?222ᵫ2஻=-2,3,-4,n-MB=3X+2y2=02qᫀs13⚓ᐳ17⚓

19ᦑ¶☢UA-ᵨ£-8Ḅc·.221.—y-=1,x>2>/28(2)NO¸᪆ூᑖ᪆௃(1)ᙊº(x,y)ᵫ᜜ᑗ½ᑁᑗᑖi2-ᙊº¾¿ÀÁÂýÁÂÃÄᵫÅÆPḄÇÈᓽ2ᑮᙊºḄÊËÌÍ.(2)ᵫT⌱¶ÏᩩMÐÑyÏÒÓ⌲Ñ⌱ÕÖsÑ×w2ḄÒØὶn2-W\ÒÓ.ூ௃(1)ÚᙊḄᙊºM(x,y),ÁÂÛᑣ|ME|=r+30,|MF|=JLᡠ|ÞÑ|º|=4&<áâã,ᵫÅÆPÇÈäMḄÊËåE,âᯖdçlè40ḄÅÆPḄéêᡠ2a=40,2c=6,ᓽa=20c=3,ᡠ஻=c?-/=1,ᡠCḄ᪗ëÌÍì=1,xN2MO(2)NOíîজঝ=ঞíᵫ⚪RP/í*Ñ8=ð(ñ-1),A(ax),B(x,,y),஺(0),%",2ᵫRP/ÖCòÀA,8Sdᡠ-2/<ó<2ôx-8=ὶn/2(“F-8)/-2஻?(ð-8))>+(%-8)2-8=0,218.(m-8)2-8ᡠ…öö=ᶭÑ8ᵫM.▓=1£.3|,2ᕜúᓽû=ü|AQl\APᵫ⚪äᡣ*1'ᡠ"1'ᓽA8Ḅ'ᡠ'+=2‘ᓽᫀ14⚓ᐳ17⚓

202(>7-8)2-163-2«2yly2-(!+%)=]12y%2;_[+ᶭ8—=1(%=y+-2“+&222m(/n-8)m-\-2m2-86/ஹx-8y=1)%-8=%(%-1),ᡠ,=ஹn■,ᦑ0n%-8-ᓄ2%-%-1=0,%T%Tᡠ஺ᙠ56x-y-l=
7)஺8/7Ḅᡠঞᡂ;.=জঞ=>ঝ:BAC&XD,஺C%%D%/1ᑣX஺-%T=0.ᵫGA,B,஺Hᐳ6BAP=/IAQ,BP=RBQ,ᐸJ>0K4X1,஻<0,4%T."-8஻X,Tᑣᑁ=NFr)XX—12—1஻-]஻O12)AᙠC7ᡠ9-P=1,8'ᡠ2᦮ᳮ(TO8¥-8)U—165O%—1"+48=0,=1)%-%-1=0,ᡠCᱏO8XO8DY+48=0,48ZᳮCᱏ-8"O8D஻+48=0,ᡠ[=/?8Jo-X]+8')^1>0,஻<0,ᡠ4=O஻ᦑ4P=-஻4஺BP—BQ,APBPᡠᦑ_`@=_.|c,ᓽ▢.e9=□ឤ0ᡂ;ᡠঝᡂ;.AQBQ=ঝঞnজ:ᵫ⚪BAC%XD,8jkDPCx',y
,஺Cl,%D,ᵫ|Aᧅe஺=en4Q|,o᱃3)P06qA87O஺06qABrs67O,ᡠBAP=/IAQ,BP=-ABQ,ᐸ^1>0Ktu1,Ix'-2/y—Ayxr+Ax-y'+H>n()0vᑣᓰ=wx'஽1—Z1—A1+?!&2x'-A.x0)AᙠC7ᡠzP=1,ᡠ21-A=r8᦮ᳮ(ᱏ-8y^-8){-(2x%-16y'%-16)2+/-8|-8=0,ᫀ15⚓ᐳ17⚓

21ZᳮCᱏO84-8D22+C2x%-160-16D4+/-8y,2-8=0,ᡠ2/^0O16y'%-16=-C2^-16y'%-16D,ᦑ,-8o-8=O,x஺=%+1ᐭC/-8k+/-8=0,|V-8y=o[y=8ஹᡠ[n8=஺ᦑᓽজGDᡂ;•22.C1D᪆2DC2DF,e஺ூᑖ᪆௃(Dᑨᓫឋ᩽¡¢£Ḅ¤᎛B¦§᦮¨ᐭᓄ2¡.(2)ᑖa«0«a>0¬®¯°±²a>0¤³ᣵµ¶¡·¸ᑨ/(x)-aḄ·¸=Nx¹ᨵ»»¢¼¦B◚§°±.ூ¾௃(1)]ᓽe*>l+lnxឤᡂ;B/z(x)=e*—l—Inx,"(x)=e'-J,Ãᯠ”(x)ᙠÆÇ(0,+e)ᑁᓫ⌴É)/?'(g)=e3_2<0,/?,(l)=e-l>0,ᡠÎᙠÏOÐᦈ)=0,ᓽ²xw(O,Xo)¤//(x)<0,ᓫ⌴Ô^²XE(%O+8)¤//(x)>0,Õ(kᓫ⌴É,ᡠ3)Ö×())=Ø-1-1Ù(+x0-l,x())ᡠL+X0>2,ᦑ/7(X)/?(XO)=+XO-1>1>O,\2)᳝)᜜)ᡠe*>l+lnxᓽ/(x)>g(£).(2)ᵫ|/(x)-a|>ag(x),_-4>a(x+xlnx),x>0,²aWO¤xe'-a>0,ᡠxe*-a>a(x+xlnx),ᓽxe*>a(x+xlnx+l),B(x)=x+xlnx+l,ßij(x)=2+lnx,K«ᔆ)=0,²xe(0,e-2)¤/(x)<0,f(x)ᓫ⌴Ô^ᫀ16⚓ᐳ17⚓

22²X£(e-2,+co)¤f(x)>o,/পᓫ⌴Éᡠ=l-e<>0,ᡠa(x+xlnx+l)W0,ᡠxe”>a(x+xlnx+l),ᓽ|/(x)—>a(x+xlnx)ᡂ;^²a>0¤æ஻(ç)=m'O஽x>0,ᑣ஻'(x)=(x+l)e*>0,ᡠ஻(kᙠÆÇ(஺,+஺)ᑁᓫ⌴É)"(0)=-a<0,஻ভ=Q(e"-1)>0,ᡠÎᙠÏOX£(0,4),Ð஻(X)=0,ᓽue0-4=0,²xw(0,x[)¤w(%)<0,ᵫO஺|>q(x+xlnx),Oí'+a>a(x+xlnx),gp-ev+--a

23x-a>0fxBP(x)=-ev+--ci

24x-aᑣp'(x)=-ev--<0,fᡠp(x)ᙠÆÇ(0X)ᑁᓫ⌴ÔᡠP(x)>"(X)=_e“+]_alnx^-a=-a

25x,-a>0Qfe²X£(X-HX)¤w(x)>0,ᓽxe'-aு()ᵫ_-6f|>a(x+x

26x),xex-a>a{x+x

27x),BPev---a

28x-a>0,Bq(x)=e*-@—஻lnx-஻,ᑣ(x)=e"+wO@,xxx"xᵫóO஻ு0e;3>0,ᡠ,প=e"+=Oõ>0,ᡠkᓫ⌴É,XXXᡠ4(k>᜛(ᓃ)=᮱^OwO஺1஺xO஺=O஻ùuO஺>(),V1,/e,111,1ᵫ஺=%e",o=X)e"<-e஺=e஺,e(1.Aú7ûᦪ”Ḅý¡ÿf,ee.ூ௃ᦪḄᵨ◚⚪ᐜᔛ,ᯠ"#ᐭᦪ%&'ᑮᔛḄ%)⚪*⌕ᦪḄᨬ-.ᵨ஽Ḅ0⊤2)3⊤2)᦮ᳮᡂḄ⊤2)#ᐭ7ᑮ8Ḅ⊤2)9.:ᫀ<17⚓ᐳ17⚓